Improved local convergence of Newton¡¯s method under weak majorant condition

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• 作者：Ioannis K. Argyros^a ; ^{iargyros@cameron.edu} ; Saï ; d Hilout^b ; ^{said.hilout@math.univ--poitiers.fr}
• 关键词：65G99 ; 65K10 ; 47H17 ; 49M15 ; 90C30
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2012
• 出版时间：January, 2012
• 年：2012
• 卷：236
• 期：7
• 页码：1892-1902
• 全文大小：287 K

文摘

We provide a local convergence analysis for Newton¡¯s method under a weak majorant condition in a Banach space setting. Our results provide under the same information a larger radius of convergence and tighter error estimates on the distances involved than before . Special cases and numerical examples are also provided in this study.